It is proposed to solve the problem of synthesis of a tunable controller of the main contour of an adaptive control system, using the gradient-velocity method of the Lyapunov vector function. The representation of the reference model and the main control loop as gradient systems, and the Lyapunov functions as potential functions allows us to apply the gradient-velocity method of the Lyapunov vector function to study the stability, robustness and quality of the main loop of an adaptive control system. The aperiodic robust stability of the adjustable controller of the main circuit of the adaptive control system guarantees the robust stability and quality of the control system.
Key words: adaptive control system, gradient-velocity method of the Lyapunov vector -valued function
